The Cohomology Rings of Moduli Spaces of Bundles over Riemann Surfaces

DOI10.2307/2152712zbMath0804.14010OpenAlexW4233599106MaRDI QIDQ4024444

Frances C. Kirwan

Publication date: 20 April 1993

Full work available at URL: https://doi.org/10.2307/2152712

zbMATH Keywords

Riemann surfacerelations between the generatorscohomology ring of the moduli space of semistable bundles

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items

Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles, Coincident root loci of binary forms, Morse theory for the space of Higgs \(G\)-bundles, A note on the moduli spaces of holomorphic and logarithmic connections over a compact Riemann surface, Schur and Schubert polynomials as Thom polynomials -- cohomology of moduli spaces, The Mod Two Cohomology of the Moduli Space of Rank Two Stable Bundles on a Surface and Skew Schur Polynomials, Relations in the cohomology ring of the moduli space of flatSO(2n + 1)-connections on a Riemann surface, Verlinde formulae on complex surfaces: K-theoretic invariants, Atiyah’s work on holomorphic vector bundles and gauge theories, Two dimensional gauge theories revisited, Reduction, Donaldson invariants and quantum cohomology ring, Chern numbers of the moduli space of spatial polygons, Surjectivity for Hamiltonian 𝐺-spaces in 𝐾-theory, Generalization of a conjecture of Mumford, Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle, Cohomology of the moduli space of rank two, odd degree vector bundles over a real curve, Endoscopic decompositions and the Hausel–Thaddeus conjecture, The cohomology ring of polygon spaces, Generators of the cohomology ring, after Newstead, Unnamed Item, Intersection numbers of polygon spaces, Yang-Mills connections on orientable and nonorientable surfaces, Character varieties, Momentum maps and reduction in algebraic geometry, Intersection numbers on moduli spaces and symmetries of a Verlinde formula. II., Remarks on the topology of spatial polygon spaces, The symplectic geometry of closed equilateral random walks in 3-space

Cites Work

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